On Large N Solution of Gaiotto-Tomasiello Theory

Abstract

The planar solution is discussed for an N=3 Chern-Simons-matter theory constructed recently by Gaiotto and Tomasiello. The planar resolvent is obtained in terms of contour integrals. If the sum of two Chern-Simons levels k_1,k_2 is small, the expectation value of a supersymmetric Wilson loop grows exponentially with the total 't Hooft coupling, as is expected from AdS/CFT correspondence. If one of the Chern-Simons levels, say k_2, is taken to infinity, for which one of the 't Hooft coupling constants becomes zero, then the exponential behavior disappears.

arXiv comment25 pages, (v2) references added, (v3) references added, typos corrected, published version

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• The large N limit of quiver matrix models and Sasaki-Einstein manifolds
• Calculating the partition function of N=2 Gauge theories on $S^3$ and AdS/CFT correspondence
• M-theoretic matrix models
• Unquenched flavor and tropical geometry in strongly coupled Chern-Simons-matter theories
• Interacting fermions and N=2 Chern-Simons-matter theories
• Localization at large N in Chern-Simons-matter theories
• Eigenvalue Distributions in Matrix Models for Chern-Simons-matter Theories
• A Systematic Study on Matrix Models for Chern-Simons-matter Theories
• On Large N Solution of N=3 Chern-Simons-adjoint Theories
• On the Vacua of Mass-deformed Gaiotto-Tomasiello Theories
• Cubic constraints for the resolvents of the ABJM matrix model and its cousins
• Subleading corrections to the $S^3$ free energy of necklace quiver theories dual to massive IIA
• Subleading Corrections in N=3 Gaiotto-Tomasiello Theory
• Toward the construction of the general multi-cut solutions in Chern-Simons Matrix Models
• $\mathcal{N}=3$ Supersymmetric Effective Action of D2-branes in Massive IIA String Theory
• Strong Coupling Limit of A Family of Chern-Simons-matter Theories